This course is a continuation of 18.014. It covers the same material as 18.02 (Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.Topics include: Calculus of several variables. Vector algebra in 3-space, determinants, matrices. Vector-valued functions of one variable, space motion. Scalar functions of several variables: partial differentiation, gradient, optimization techniques. Double integrals and line integrals in the plane; exact differentials and conservative fields; Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor

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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

Image from ?The National Burns. Edited by Rev. George Gilfillan, including the airs of all the songs, and an original life of Burns by the editor. [With plates, including portraits.]?, 000543200
Author: Burns, Robert
Volume: 01
Page: 376
Year: 1879
Place: Glasgow
Publisher: William Mackenzie
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This course is about maneuvering motions of surface and underwater vehicles. Topics covered include: derivation of equations of motion, hydrodynamic coefficients, memory effects, linear and nonlinear forms of the equations of motion, control surfaces modeling and design, engine, propulsor, and transmission systems modeling and simulation during maneuvering. The course also deals with stability of motion, principles of multivariable automatic control, optimal control, Kalman filtering, and loop transfer recovery. We will also explore applications chosen from autopilots for surface vehicles; towing in open seas; and remotely operated vehicles.
This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.49. In 2005, ocean engineering subjects became part of Co

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

In this three-day workshop, students will get a broad introduction to global health issues. We will look at one particular non-governmental organization in India that works to improve health across the lifespan by empowering existing community resources to provide appropriate physical, psychological and social therapies, focusing on child development, adolescent and youth health, mental health, and chronic disease. This workshop equips student to explore novel ideas and technologies with an inspiring and ground-breaking Indian NGO.Fulfills the Sloan Innovation Period (SIP) elective requirement. SIP occurs at the midpoint of each semester providing students with an intensive week of experiential leadership learning, as well as exposure to groundbreaking faculty work. It allows students

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

A slide presentation by Steve Burholt, e-learning systems developer at Oxford Brookes University, describing work on Open Educational Resources (OER) at Oxford Brookes. The presentation took place at Oxford Brookes on 16 March 2011, as part of the RIPPLE project (see link below).

Copyright Oxford Brookes University. These materials are available for copying, use and re-use under the Creative Commons Licence: Attribution-Non-Commercial-No Derivative Works 2.0 UK: England and Wales. Copyright Oxford Brookes University. These materials are available for copying, use and re-use under the Creative Commons Licence: Attribution-Non-Commercial-No Derivative Works 2.0 UK: England and Wales.

Image from ?The History of Cleveland, ancient and modern. vol. 1, 2?, 000135982
Author: ATKINSON, John Christopher.
Page: 523
Year: 1872
Place: Barrow-in-Furness
Publisher: J. Richardson
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Copyright Oxford Brookes University. These materials are available for copying, use and re-use under the Creative Commons Licence: Attribution-Non-Commercial-No Derivative Works 2.0 UK: England and Wales. Copyright Oxford Brookes University. These materials are available for copying, use and re-use under the Creative Commons Licence: Attribution-Non-Commercial-No Derivative Works 2.0 UK: England and Wales.

Image from ?The Church Heraldry of Norfolk: a description of all coats of arms on brasses, monuments, etc., now to be found in the county. Illustrated ? With Notes from the inscriptions attached?, 001203024
Author: FARRER, Edmund.
Volume: 01
Page: 104
Year: 1885
Place: Norwich
Publisher: A. H. Goose & Co.
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Image from ?[Voyage aux pays annexe?s. Suite et fin du Voyage au pays des Milliards.]?, 003643050
Author: TISSOT, Victor.
Page: 253
Year: 1879
Place: Paris
Publisher:
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Copyright Oxford Brookes University. These materials are available for copying, use and re-use under the Creative Commons Licence: Attribution-Non-Commercial-No Derivative Works 2.0 UK: England and Wales. Copyright Oxford Brookes University. These materials are available for copying, use and re-use under the Creative Commons Licence: Attribution-Non-Commercial-No Derivative Works 2.0 UK: England and Wales.

Image from ?Behind the Bungalow. [?Papers published in the 'Times? of India.?] By Eha. With forty-two illustrations, etc?, 001047044
Author:
Page: 145
Year: 1889
Place: Calcutta
Publisher: Thacker & Co.
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